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2 years ago

10

A girl planned to swim straight across a river of width 25m. After she had swum across the river, the girl found she had been sw

ept 4m downstream. How far did she actually swim? Calculate your answer, in metres, correct to 1 decimal place.

1 answer:

s2008m [1.1K]2 years ago

8 0

25^2 + 4^2 = c^2, c = 25.3 m

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3 years ago

The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true

Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478$

<u>Part B</u>

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<u>Part C</u>

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3 years ago

Identify the 35th term of an arithmetic sequence where a1 = −7 and a18 = 95.

borishaifa [10]

Th term of an arithmetic sequence:

We have to find the difference (d)

an=a₁+(n-1)d

Data:
a₁=-7
a₁₈=95

95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6

Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197

Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)

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3 years ago